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The partially complete ANOVA table given here is for a two-factor factorial expe

ID: 3048175 • Letter: T

Question

The partially complete ANOVA table given here is for a two-factor factorial experiment

Source

  Df

SS

MS

factor A

3

2.25

0.75

Factor B

1

0.95

Interaction

3

0.30

error

16

2.40

0.15

total

6.50

The number of observations collected for this study is  

The Sum of Squares for the interaction is equal to

The Sum of Squares for the treatments is equal to

The number of degrees of freedom for the treatments is equal to

The Mean of Squares for factor B is equal to

The F-test for interaction effect is equal to

The rejection region at alpha 0.01 for the test of significance of the interaction is equal to

Source

  Df

SS

MS

factor A

3

2.25

0.75

Factor B

1

0.95

Interaction

3

0.30

error

16

2.40

0.15

total

6.50

Explanation / Answer

The number of observations collected for this study is =24

The Sum of Squares for the interaction is equal to=0.9

The Sum of Squares for the treatments is equal to=2.25 and 0.95

The number of degrees of freedom for the treatments is equal to=3 and 1

The Mean of Squares for factor B is equal to=0.95

The F-test for interaction effect is equal to=2

The rejection region at alpha 0.01 for the test of significance of the interaction is equal to=5.29

Source   Df SS MS F Value F critical value factor A 3 2.25 0.75 5.00 5.29 Factor B 1 0.95 0.95 6.33 8.53 Interaction 3 0.9 0.3 2.00 5.29 error 16 2.4 0.15 total 20 6.5
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